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MHT CET 2022 (11 Aug, Shift 2) · Critical Speed & Looping

Critical Speed & Looping question from MHT CET 2022 (11 Aug, Shift 2)

Q9MHT CET 2022 · 11 AUG · SHIFT 2Easy

Critical Speed & Looping

A bucket containing water is revolved in a vertical circle of radius $r$ . To prevent the water from falling down, the minimum frequency of revolution required is

( $g =$ acceleration due to gravity)

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Answer: (c)

At the top: $\omega^2 r \ge g \Rightarrow \omega_{min} = \sqrt{\frac{g}{r}}$
$f_{min} = \frac{\omega_{min}}{2\pi} = \frac{1}{2\pi}\sqrt{\frac{g}{r}}$
So the answer is (c).

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